Velocity vector

Definition

A velocity vector is a vector that describes both the speed and direction of an object's motion. It has both magnitude (speed) and direction, making it a fundamental quantity in kinematics.

5 Must Know Facts For Your Next Test

1. The magnitude of a velocity vector represents the speed of the object.
2. Velocity vectors can be broken down into components along the x, y, and z axes in three-dimensional motion.
3. The velocity vector can change in both magnitude and direction if the object is accelerating.
4. In uniform circular motion, the velocity vector is always tangent to the path of motion.
5. The derivative of the position vector with respect to time gives you the velocity vector.

Review Questions

• What information does a velocity vector provide about an object's motion?
• How can you determine the components of a velocity vector in two-dimensional motion?
• What happens to a velocity vector during uniform circular motion?

Related terms

Displacement Vector: A displacement vector describes an object's change in position from one point to another and includes both magnitude and direction.

Acceleration Vector: An acceleration vector represents the rate of change of velocity with respect to time, including both magnitude and direction.

Position Vector: $\textbf{r}(t)$ is used to locate an object in space relative to an origin; it changes over time as the object moves.